2 citations · 2 across the 6 of their papers we have counts for
6 papers
von Neumann Inequality for a class of Doubly Contractive Weighted Shifts
Soumyadip Dey, Rajeev Gupta, Surjit Kumar
In this article, we investigate the ball version of von Neumann inequality for the class of doubly contractive -tuple of weighted shift. We show that if the weighted shift is ba…
Multivariable Wold-Type Decomposition and Analytic Models for a class of left-inverse commuting pairs
Monojit Bhattacharjee, Rajeev Gupta, Vidhya Venugopal
This work establishes a multivariable Wold-type decomposition for left-inverse commuting -tuples of bounded operators, built on the hypothesis that each component admits a Wold-…
Wold-type decomposition for Doubly commuting two-isometries
Monojit Bhattacharjee, Rajeev Gupta, Vidhya Venugopal
In this article, we prove that any pair of doubly commuting -isometries on a Hilbert space has a Wold-type decomposition. Moreover, the analytic part of the pair is unitary equi…
Dirichlet type spaces in the unit bidisc and Wandering Subspace Property for operator tuples
Monojit Bhattacharjee, Rajeev Gupta, Vidhya Venugopal
In this article, we define Dirichlet-type space over the bidisc for any measure $\boldsymbolμ\in\mathcal{P}\mathcal{M}_{+}(\mathbb T^2…
Cesàro summability of Taylor series in higher order weighted Dirichlet type spaces
Soumitra Ghara, Rajeev Gupta, Md. Ramiz Reza
For a positive integer and a finite non-negative Borel measure on the unit circle, we study the Hadamard multipliers of higher order weighted Dirichlet-type spaces $\mathca…
Analytic m-isometries and weighted Dirichlet-type spaces
S. Ghara, R. Gupta, Md. R. Reza
Corresponding to any -tuple of semi-spectral measures on the unit circle, a weighted Dirichlet-type space is introduced and studied. We prove that the operator of multiplica…